All categories

3 years ago

For the given cost function C(x), find the oblique asymptote of the average cost function C(X), C(x)=14,000+94x+0.03x^2

1 answer:

5 0

Answer: y = 0.03x + 94

--------------------------------------

Explanation:

Lets define A(x) to be the average cost function where
A(x) = C(x)/x
basically you divide the given cost function C(x) by the number of units produced (x)

Dividing C(x) over x leads to:
A(x) = C(x)/x
A(x) = (14000+94x+0.03x^2)/x ... substitution
A(x) = (0.03x^2+94x+14000)/x ... rearrange terms
A(x) = (0.03x^2)/x+(94x)/x+(14000)/x ... break up the fraction
A(x) = 0.03x + 94 + (14000/x) ... simplify

If x were to head off to infinity, then the portion 14000/x approaches 0.

So this is why the oblique asymptote is y = 0.03x + 94

Basically, in the long run, the average cost will approach y = 0.03x + 94

You might be interested in

8.7/2=q/4 what is Q and give me work plez

ZanzabumX [31]

8.7/2=q/4
multiply both sides by 4: q=8.7/2*4
multiply both sides by 2: 2q=8.7 times 4
refine the equation: 2q=34.8
multiply both sides by 10: 20q=348
Divide both sides by 20: 20q/20=348/20
refine the equation for the final answer: q=87/5

8 0

2 years ago

If (-1, y) lies on the graph of y=2^2x then y=

zubka84 [21]

Answer:

y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.

I believe the equation to be $y=2^{2x}$ . If you meant $y=2^2x$ , please let me know.

Thanks kindly.

Step-by-step explanation:

If (-1,y) lies on the graph of $y=2^{2x}$ , then by substitution we have:

$y=2^{2\cdot -1}$ .

We just need to simplify to determine y:

$y=2^{2 \cdot -1}$

Multiply the 2 and -1:

$y=2^{-2}$

Use reciprocal rule for exponents to get rid of the negative:

$y=\frac{1}{2^2}$

$2^2$ just means $2(2)$ :

$y=\frac{1}{2(2)}$

$y=\frac{1}{4}$ .

8 0

2 years ago

How many ways can you arrange the letters in the word prime?

Jobisdone [24]

There are 5 letters in the word "prime"

Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice

We have this countdown: 5,4,3,2,1

which multiplies out to 5*4*3*2*1 = 120

There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.

7 0

3 years ago

Help please as soon as possible

skad [1K]

The value of y will be equal to 4.

Reason : The length of the opposite cord is equal and therefore the distance from the centre to the cord will be equal.

Ans: 3rd option (4)

Hope this helps!

4 0

3 years ago

Read 2 more answers

What do you notice about the table inputs for the graph of √x?

Airida [17]

Answer:

See below

Step-by-step explanation:

When we talk about the function $f(x)=\sqrt{x}$ , the domain and codomain are generally defaulted to be subsets of the Real set. Once $f:[0,\infty)\to [0,\infty)$ and $f\subseteq [0,\infty)\times [0,\infty)$ such that $(x,y_1)\in f\wedge(x,y_2)\in f \Rightarrow y_1=y_2$ for $f(x)=\sqrt x$ . Therefore,

$\sqrt{\cdot}: \mathbb R_{\geq 0} \to \mathbb R_{\geq 0}$

$x \mapsto \sqrt{x}$

But this table just shows the perfect square solutions.

4 0

2 years ago